Henderson hard disk equation of state: Difference between revisions

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(New page: {{stub-general}} ==References== #[http://dx.doi.org/10.1080/00268977500102511 Douglas Henderson "A simple equation of state for hard discs", Molecular Physics '''30''' pp. 971-971 (1975)] ...)
 
(Added the equation of state)
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{{stub-general}}
'''Henderson hard disk equation of state''' (Eq. 5 <ref>[http://dx.doi.org/10.1080/00268977500102511 Douglas Henderson "A simple equation of state for hard discs", Molecular Physics '''30''' pp. 971-971 (1975)]</ref>):
 
: <math>
Z = \frac{ p V}{N k_B T} = \frac{ 1 + y^2/8 }{(1-y)^2 }.
</math>
 
where:
*<math> Z </math> is the [[compressibility factor]]
*<math> p </math> is the [[pressure]]
*<math> V </math> is the volume
*<math> N </math> is the number of particles
*<math> k_B  </math> is the [[Boltzmann constant]]
*<math> T </math> is the absolute [[temperature]]
*<math> y= (\pi/2)\rho \sigma^2 </math>
 
==References==
==References==
#[http://dx.doi.org/10.1080/00268977500102511 Douglas Henderson "A simple equation of state for hard discs", Molecular Physics '''30''' pp. 971-971 (1975)]
<references/>
[[Category: Equations of state]]
[[Category: Equations of state]]

Revision as of 16:09, 18 October 2011

Henderson hard disk equation of state (Eq. 5 [1]):

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Z = \frac{ p V}{N k_B T} = \frac{ 1 + y^2/8 }{(1-y)^2 }. }

where:

  • Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Z } is the compressibility factor
  • Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle p } is the pressure
  • Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle V } is the volume
  • Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle N } is the number of particles
  • Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle k_B } is the Boltzmann constant
  • Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle T } is the absolute temperature
  • Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle y= (\pi/2)\rho \sigma^2 }

References